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Finding the Third Proportional to 2,924.86 and 6,514.17

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Solution

The third proportional to 2,924.86 and 6,514.17 is: 14,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.86 : 6,514.17 = 6,514.17 : x
  2. Step 2: Convert to fraction form
    2,924.86/6,514.17 = 6,514.17/x
  3. Step 3: Cross multiply
    2,924.86x = 6,514.17 × 6,514.17
  4. Step 4: Simplify right side
    2,924.86x = 42,434,435.22
  5. Step 5: Solve for x
    x = 42,434,435.22/2,924.86
  6. Step 6: Final answer
    x = 14,508.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.